[3] The Missouri River flows southward along the west boundary line of Potter County.

The county terrain consists of rolling hills, mostly devoted to agriculture.

[6] The eastern portion of South Dakota's counties (48 of 66) observe Central Time; the western counties (18 of 66) observe Mountain Time.

[7] As of the 2020 census, there were 2,472 people, 1,127 households, and 753 families residing in the county.

In terms of ancestry, 65.3% were German, 11.1% were Irish, 8.2% were Norwegian, 8.0% were English, and 3.9% were American.

Only three Democrats – William Jennings Bryan, Franklin D. Roosevelt and Lyndon Johnson – have carried the county as of 2024, and since Jimmy Carter in 1976 no Democrat has passed forty percent of the county's vote.